论文标题
驯服或野生动物转移
Tame or wild Toeplitz shifts
论文作者
论文摘要
我们研究了toeplitz变化的驯服性。通过介绍扩展的Bratteli-vershik图的概念,我们表明,当且仅当最多可见的奇异纤维上的最大等效因子上有有限的toeplitz等级的这种变化是驯服的。使用替代subfrifts进行了说明。一系列详尽的例子表明,我们结果的假设不能放松。
We investigate tameness of Toeplitz shifts. By introducing the notion of extended Bratteli-Vershik diagrams, we show that such shifts with finite Toeplitz rank are tame if and only if there are at most countably many orbits of singular fibres over the maximal equicontinuous factor. The ideas are illustrated using the class of substitution subshifts. A body of elaborate examples shows that the assumptions of our results cannot be relaxed.